Nonlinear harmonic generation in two-dimensional lattices of repulsive magnets
arXiv:2007.03855 · doi:10.1103/PhysRevE.103.012213
Abstract
In this Letter, we provide experimental evidence of nonlinear wave propagation in a triangular lattice of repulsive magnets supported by an elastic foundation of thin pillars and we interpret all the individual features of the nonlinear wavefield through the lens of a phonon band calculation that precisely accounts for the inter-particle repulsive forces. We confirm the co-existence of two spectrally distinct components (homogeneous and forced) in the wave response that is induced via second harmonic generation (SHG), a well-known effect of quadratic nonlinearity (here embedded in the magnetic interaction). We show that the modal and spatial characteristics of the second harmonic components are complementary to those exhibited by the fundamental harmonic. This endows the lattice with a functionality enrichment capability, whereby additional modes and directivity patterns can be triggered and tuned by merely increasing the amplitude of excitation.
arXiv comment5 pages, 4 figures
References in corpus (12)
- Tunability of solitary wave properties in one dimensional strongly nonlinear phononic crystals
- Nonlinear conduction via solitons in a topological mechanical insulator
- Strongly nonlinear waves in a chain of Teflon beads
- Discrete Breathers in One-Dimensional Diatomic Granular Crystals
- Amplitude-dependent topological edge states in nonlinear phononic lattices
- Nonlinear dispersive waves in repulsive lattices
- Nonlinear Waves in Lattice Materials: Adaptively Augmented Directivity and Functionality Enhancement by Modal Mixing
- Doubly-nonlinear waveguides with self-switching functionality selection capabilities
- Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions
- Shear to longitudinal mode conversion via second harmonic generation in a two-dimensional microscale granular crystal
- Experimental Evidence of Directivity-Enhancing Mechanisms in Nonlinear Lattices
- Dynamics of interacting particle systems: Modeling implications of the repulsive interactions and experiments on magnetic prototypes